Recently, the study of non-Hermitian phases has been extended to systems
with spatial aperiodicity. Specially, the interplay between non-Hermitian
effects and quasiperiodic modulations has been found to induce rich
patterns of localization-delocalization transitions, topological phase
transitions and mobility edges in one-dimensional (1D) non-Hermitian
quasicrystals (NHQCs) [1]}, [2]}, [3]}, [4]}, [5]}, [6]}, [7]}, [8]}, [9]}, [10]}, [11]}, [12]}, [13]}, [14]}, [15]}, [16]}, [17]}, [18]}, [19]}, [20]}, [21]}, [22]}, [23]}, [24]}, [25]}.
Typical systems considered in the study of 1D NHQCs include various
extensions of the Aubry-André-Harper [1]}, [2]}, [3]}, [4]}, [5]},
Fibonacci [17]}, Su-Schrieffer-Heeger [21]}, Kitaev
chain [24]} and Maryland [25]} models. Localization
and topological transitions induced by time-periodic driving fields
have also been investigated in the context of Floquet NHQCs [35]}.
